1390188960 has 192 divisors, whose sum is σ = 5122051200. Its totient is φ = 351184896.

The previous prime is 1390188959. The next prime is 1390189051. The reversal of 1390188960 is 698810931.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73612 + ... + 90548.

It is an arithmetic number, because the mean of its divisors is an integer number (26677350).

Almost surely, 2^1390188960 is an apocalyptic number.

1390188960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561025600).

1390188960 is an abundant number, since it is smaller than the sum of its proper divisors (3731862240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1390188960 is a wasteful number, since it uses less digits than its factorization.

1390188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16980 (or 16966 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1390188960 is about 37285.2378294681. The cubic root of 1390188960 is about 1116.0695990817.

The spelling of 1390188960 in words is "one billion, three hundred ninety million, one hundred eighty-eight thousand, nine hundred sixty".